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Fibrant Presheaves of Spectra and Guillén-Navarro Extension

Llorenç Rubió i Pons
2009 Rendiconti del Seminario Matematico della Universita di Padova  
with the fibrant replacement of the presheaf in the injective model category structure with the cdtopology of abstract blow-ups.  ...  In this remark we prove that the Guille Ân-Navarro extension of a presheaf of spectra in the category of algebraic varieties over a field of characteristic zero, when exists, coincides up to weak equivalence  ...  Jardine proves [6] [7] that the category Pre(g; Sp) has a model category structure with local weak equivalences and global cofibrations.  ... 
doi:10.4171/rsmup/122-12 fatcat:rqk4gk2qsngv3ebfehskbvkj6a

Cyclic homology, cdh-cohomology and negative K-theory [article]

G. Cortiñas, C. Haesemeyer, M. Schlichting, C. A. Weibel
2005 arXiv   pre-print
Karoubi and R. Nest, as well as the IHP for their hospitality.  ...  This paper grew out of discussions the authors had at the Institut Henri Poincaré during the semester on K-theory and noncommutative geometry in Spring 2004. We thank the organizers, M.  ...  It consists of all elementary Nisnevich squares and those abstract blow-up squares of smooth schemes isomorphic to a blow-up of a smooth scheme along a smooth center (this cd-structure is discussed in  ... 
arXiv:math/0502255v1 fatcat:ksevtxxpojck7gkpk5gppkmjrq

Text Classification for a Large-Scale Taxonomy Using Dynamically Mixed Local and Global Models for a Node [chapter]

Heung-Seon Oh, Yoonjung Choi, Sung-Hyon Myaeng
2011 Lecture Notes in Computer Science  
A recent study showed that both local and global information for a node is useful for further improvement.  ...  This paper introduces two methods for mixing local and global models dynamically for individual nodes and shows they improve classification effectiveness by 5% and 30%, respectively, over and above the  ...  Classifier Trigram Language Model Naïve Bayes Combination of Local and Global Information Smoothing No-smoothing Add-One in Global Model Fig. 6.  ... 
doi:10.1007/978-3-642-20161-5_4 fatcat:rq6juhd4rfd2hhh6ufri6pdj7u

Orbifolds, Orbispaces and Global Homotopy Theory [article]

Branko Juran
2020 arXiv   pre-print
Examples of orbifold cohomology theories which are represented by an orthogonal spectrum include Borel and Bredon cohomology theories and orbifold K-theory.  ...  Given an orbifold, we construct an orthogonal spectrum representing its stable global homotopy type.  ...  I would like to thank Stefan Schwede for the suggestion of the topic and his advice and support while and after writing it. I am grateful to Benjamin Böhme for co-correcting my thesis.  ... 
arXiv:2006.12374v1 fatcat:o4nvrhi66jac5l34vl5delgd64

Global critical chart for local Calabi-Yau threefolds [article]

Tasuki Kinjo, Naruki Masuda
2022 arXiv   pre-print
In this paper, we investigate Keller's deformed Calabi–Yau completion of the derived category of coherent sheaves on a smooth variety.  ...  In particular, for an n-dimensional smooth variety Y, we describe the derived category of the total space of an ω_Y-torsor as a certain deformed (n+1)-Calabi–Yau completion of the derived category of Y  ...  Let C be a smooth k-linear stable ∞-category and take a Hochschild homology class c : k[n − 1] → HH(C) with a negative cyclic lift c.  ... 
arXiv:2112.10052v2 fatcat:4c7bxwlawfbejpeuzsuupat7ta

Bivariant derived algebraic cobordism [article]

Toni Annala
2019 arXiv   pre-print
We extend the derived Algebraic bordism of Lowrey and Schürg to a bivariant theory in the sense of Fulton and MacPherson, and establish some of its basic properties.  ...  Let C be the category of quasiprojective schemes over k with proper morphisms as confined morphisms and Tor-independent Cartesian squares as independent squares.  ...  Let C be again the category of quasi-projective k-varieties together with proper morphisms as confined morphisms and all fibre squares as independent squares.  ... 
arXiv:1807.04989v3 fatcat:x7ppkhby6ngrnfttmtj2jmiqvi

Proper Orbifold Cohomology [article]

Hisham Sati, Urs Schreiber
2020 arXiv   pre-print
Our first main result is a fully faithful embedding of the 2-category of orbifolds into a singular-cohesive infinity-topos whose intrinsic cohomology theory is proper globally equivariant differential  ...  Our second main result is a general construction of orbifold etale cohomology which we show to naturally unify (i) tangentially twisted cohomology of smooth but curved spaces with (ii) RO-graded proper  ...  smooth and of flat orbifolds).  ... 
arXiv:2008.01101v2 fatcat:n5euzend6zahpgw3ay7qakvpda

Modified Mixed Realizations, New Additive Invariants, and Periods of DG Categories

Gonçalo Tabuada
2016 International mathematics research notices  
By construction, this R-linear rigid symmetric monoidal triangulated category comes equipped with a ⊗-functor M (−) R : Sm(k) → DM gm (k; R), defined on smooth k-schemes of finite type, and with a ⊗-invertible  ...  Given an R-linear symmetric monoidal additive category with arbitrary direct sums M and a ⊗-invertible object O ∈ M, consider the commutative monoid ⊕ m∈Z O ⊗m in M and the category of (right) ⊕ m O ⊗m  ...  noncommutative periods, to Marc Levine for a conversation about realizations, and finally to Michel Van den Bergh for several discussions about noncommutative motives and D-modules.  ... 
doi:10.1093/imrn/rnw242 fatcat:6y4sg5ccszeqxhtfv4wqa3qtay

Near-Infrared Reflectance Spectroscopy Analysis of Phosphorus in Sugarcane Leaves

Ming Chen, Barry Glaz, Robert A. Gilbert, Samira H. Daroub, Franklin E. Barton, Yongshan Wan
2002 Agronomy Journal  
., 1993). modified partial least-squares regression for the following categories: Phosphorus fertilizer rates are recommended to optiparents, offspring, fertilizer rate, and water table.  ...  Additionally, global mize sugarcane yields according to foliar analysis using calibrations were calculated for 11 groupings of these local categories. wet chemistry digestion, coupled with proper interpreta-Analyses  ...  Snyder and Dr. C.W. Deren and three anonymous reviewers are gratefully acknowledged.  ... 
doi:10.2134/agronj2002.1324 fatcat:ck5zr7peyzardp5waplohfzwcq

Bivariant algebraic cobordism with bundles [article]

Toni Annala, Shoji Yokura
2020 arXiv   pre-print
We show that, over a field of characteristic 0, this extends the analogous homological theory of Lee and Pandharipande constructed earlier.  ...  We then proceed to study in detail the restricted theory where only rank 1 vector bundles are allowed, and prove a weak version of projective bundle formula for bivariant cobordism.  ...  the above categories is a pullback square if and only if it is a pushout square.  ... 
arXiv:1911.12484v2 fatcat:x5c4caldprhpxaftmxtkdlpgki

Modified mixed realizations, new additive invariants, and periods of dg categories [article]

Goncalo Tabuada
2016 arXiv   pre-print
To every scheme, not necessarily smooth neither proper, we can associate its different mixed realizations (de Rham, Betti, etale, Hodge, etc) as well as its ring of periods.  ...  This leads to new additive invariants, which we compute in the case of differential operators, as well as to a theory of periods of dg categories.  ...  noncommutative periods, to Marc Levine for a conversation about realizations, and finally to Michel Van den Bergh for several discussions about noncommutative motives and D-modules.  ... 
arXiv:1603.03411v2 fatcat:nbelldbwxnb3vbkw6ny23ny3pa

Derived loop stacks and categorification of orbifold products [article]

Sarah Scherotzke, Nicolò Sibilla
2015 arXiv   pre-print
By work of Ben-Zvi, Francis and Nadler, this reveals connections between virtual orbifold products and Drinfeld centers of monoidal categories, thus answering a question of Hinich.  ...  Let X be a smooth Deligne-Mumford stack with finite stabilizers. Assume that X admits a presentation as a global quotient of a smooth affine scheme by a linear algebraic group, X = [X/G].  ...  a finite group, and for smooth schemes.  ... 
arXiv:1502.02326v1 fatcat:66pbn7xciravtivjalkrgokije

Intrinsic Image Decomposition from Pair-Wise Shading Ordering [chapter]

Yuanliu Liu, Zejian Yuan, Nanning Zheng
2015 Lecture Notes in Computer Science  
These methods are complementary, and they together can capture both the local smoothness and non-local order structure of shading.  ...  We adopt a strategy of local competition and global Angular Embedding to integrate pairwise orders into a globally consistent order, taking their reliability into account.  ...  Green: Pixels from category G1; and Red: Pixels from category G2; (c) Left: The brightness image I w with some representative patches indicated by the squares.  ... 
doi:10.1007/978-3-319-16814-2_6 fatcat:42rqxbxzezcz5kpr5s6ngkmzpi

Virtual fundamental classes, global normal cones and Fulton's canonical classes [article]

Bernd Siebert
2005 arXiv   pre-print
This paper, first written in 1997, aims at a simplified and more elementary construction of algebraic-geometric virtual fundamental classes as defined by Li/Tian and Behrend/Fantechi.  ...  We also observe a formula for virtual fundamental classes involving only the total Chern class of the index bundle and Fulton's canonical class of the moduli space.  ...  Now if X is globally embedded into a smooth scheme M , C X is globally the quotient of C X|M by T M | X .  ... 
arXiv:math/0509076v1 fatcat:zo67ld32xzegxledin2ik2zea4

On Grothendieck's standard conjectures of type C and D in positive characteristic [article]

Goncalo Tabuada
2018 arXiv   pre-print
Making use of topological periodic cyclic homology, we extend Grothendieck's standard conjectures of type C and D (with respect to crystalline cohomology theory) from smooth projective schemes to smooth  ...  proper dg categories in the sense of Kontsevich.  ...  Since X is a smooth proper k-scheme, the dg category perf dg (X) is smooth and proper.  ... 
arXiv:1710.04644v3 fatcat:kh65norlijcjrg5tk2mbh4f45y
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