Results 21 to 30 of about 722,703 (184)
Dualities in convex algebraic geometry [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2010 Convex algebraic geometry concerns the interplay between optimization theory and real algebraic geometry. Its objects of study include convex semialgebraic sets that arise in semidefinite programming and from sums of squares. This article compares three
Philipp Rostalski, Bernd Sturmfels
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Derived Algebraic Geometry IV: Deformation Theory
, 2007 74 pages. Revised: 5/4/09. Some material rewritten to apply to more general operads, some material on the Goodwillie calculus has been removed (and given its own paper)
Jacob Lurie
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Derived Algebraic Geometry III: Commutative Algebra
, 2007 This paper describes a higher-categorical version of the theory of colored operads, giving applications to the study of commutative ring spectra.
Jacob Lurie
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Derived Algebraic Geometry II: Noncommutative Algebra
, 2007 In this paper, we present an infinity-categorical version of the theory of monoidal categories. We show that the infinity category of spectra admits an essentially unique monoidal structure (such that the tensor product preserves colimits in each variable), and thereby recover the classical smash-product operation on spectra.
Jacob Lurie
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Integral transforms and Drinfeld centers in derived algebraic geometry [PDF]
Journal of the American Mathematical Society, 2010 We study the interaction between geometric operations on stacks and algebraic operations on their categories of sheaves. We work in the general setting of derived algebraic geometry: our basic objects are derived stacks X X and their ∞ \infty -categories Q C ( X
Dani Ben‐Zvi +2 more
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Motifs in Derived Algebraic Geometry
, 2015 We formalize the concept of sheaves of sets on a model site by considering variables thereof, or motifs, and we construct functorially defined derived algebraic stacks from them, thereby eliminating the necessity to choose derived extensions.
Renaud Gauthier
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Brave New Algebraic Geometry and global derived moduli spaces of ring spectra [PDF]
, 2007 29 pages; some corrections and a new ...
Bertrand Toën, Gabriele Vezzosi
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Graded algebras, projective spectra and blow-ups in derived algebraic geometry
, 2021 60 pages.
Jeroen Hekking
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Gromov-Witten theory with derived algebraic geometry [PDF]
, 2018 37 pages, first ...
Étienne Mann, Marco Robalo
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Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract A quasi-smooth derived enhancement of a Deligne–Mumford stack 𝒳 naturally endows 𝒳 with a functorial perfect obstruction theory in the sense of Behrend–Fantechi. We apply this result to moduli of maps and perfect complexes on a smooth complex projective variety.
Timo Schürg +2 more
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