- F-characteristic cycle of a rank one sheaf on an arithmetic surface
2024/02/09 by Ryosuke Ooe · 1 citation
Computer Science · Mathematics · #Abelian group #Algebra over a field #Coding theory and cryptography #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Rank (graph theory) #Sheaf #Sheaf cohomology #Surface (topology) #Vector bundle #math.AG #math.NT #msc:11S15 #msc:14F20
- Synthetic spectra and the cellular motivic category
2022/12/20 by Piotr Pstrągowski · 7 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cohomology #Derived category #Equivalence (formal languages) #Functor #Hochschild homology #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Physics #Pure mathematics #Sheaf #Spectral line #Spectral sequence #Spectrum (functional analysis) #Triangulated category
- On the minimal model program for projective varieties with pseudo-effective tangent sheaf
2022/11/16 by Shinichi Matsumura, Shin-ichi Matsumura · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Fano plane #Geometry #Mathematics #Nonlinear Waves and Solitons #Projective test #Pure mathematics #Sheaf #Tangent #math.AG #math.CV #math.DG #msc:14E30 #msc:32J25 #msc:53C25
- Sheaf Theory through Examples
2022/10/25 by Daniel Rosiak · 1 citation
Computer Science · Engineering · Mathematics · #Data Visualization and Analytics #Topological and Geometric Data Analysis #Slime Mold and Myxomycetes Research #Sheaf #Sheaf cohomology #Mathematics #Topos theory #Category theory #Morphism #Algebra over a field #Epistemology #Pure mathematics #Cohomology #Group cohomology #Philosophy
- Sheaf quantization in Weinstein symplectic manifolds
2020/07/16 by David Nadler, Nadler, David, Vivek Shende +1 · 5 citations
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Derived category #Functor #Geometric and Algebraic Topology #Homotopy #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Pure mathematics #Sheaf #Symplectic geometry
- A Comparison of Two Complexes
2016/03/12 by Dongkwan Kim, Kim, Dongkwan · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Character (mathematics) #Combinatorics #Conjecture #Corollary #FOS: Mathematics #Finite Group Theory Research #Geometry #Group (periodic table) #Group theory #Mathematics #Physics #Pure mathematics #Reductive group #Representation Theory (math.RT) #Sheaf #math.RT
- The characteristic cycle and the singular support of a constructible sheaf
2015/10/31 by Takeshi Saito · 7 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Ample line bundle #Cotangent bundle #Dimension (graph theory) #Generalization #Homotopy and Cohomology in Algebraic Topology #Line bundle #Sheaf #Space (punctuation) #Variety (cybernetics) #math.AG
- A duality formalism in the spirit of Grothendieck and Verdier
2013/11/15 by Mitya Boyarchenko, Vladimir Drinfeld · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Mathematics #Monoidal category #Pure mathematics #Grothendieck group #Sheaf #Equivariant map #Tensor product #Symmetric monoidal category #Derived category #Algebra over a field #Abelian group #Functor
- Chern–Weil forms and abstract homotopy theory
2013/04/17 by Daniel S. Freed, Michael J. Hopkins · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Mathematics #Pure mathematics #Functor #Homotopy #Equivariant map #Simplicial set #Sheaf #Invariant (physics) #Algebra over a field #Cofibration #Hodge theory #Chern class #n-connected #Homotopy category #Homotopy lifting property #Cohomology
- Intersection spaces, perverse sheaves and type IIB string theory
2012/12/10 by Markus Banagl, Nero Budur, Laurenţiu Maxim +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Cohomology #Complete intersection #Duality (order theory) #Equivariant cohomology #Hypersurface #Intersection homology #Isolated singularity #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Poincaré duality #Pure mathematics #Sheaf #Sheaf cohomology #Singularity #math.AG #math.AT #msc:14J33 #msc:32S25 #msc:32S30 #msc:32S35 #msc:32S55 #msc:55N33 #msc:57P10 #msc:81T30
- Perverse Coherent Sheaves
2010/01/01 by Dmitry Arinkin, Roman Bezrukavnikov · 1 citation
Mathematics · Engineering · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Coherent sheaf #Sheaf #Stack (abstract data type) #Intersection (aeronautics) #Pure mathematics #Preprint #Algebraic structure #Mathematics #Cohomology #Algebra over a field #Computer science #Engineering #Programming language
- A perverse sheaf approach toward a cohomology theory for string theory
2009/01/01 by Abdul Rashid Abdul Rahman · 2 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #Cohomology #Sheaf cohomology #Sheaf #Mathematics #String theory #String (physics) #Dual (grammatical number) #Pure mathematics #Algebra over a field #Theoretical physics #Physics #Group cohomology #Linguistics #Mathematical physics #Philosophy
- The characteristic class and ramification of an ℓ-adic étale sheaf
2006/04/06 by Ahmed Abbes, Takeshi Saito · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Characteristic class #Class (philosophy) #Geometry and complex manifolds #Ramification #Rank (graph theory) #Sheaf #TRACE (psycholinguistics) #math.AG #msc:14F20
- Complex Algebraic Surfaces
1996/06/28 by Arnaud Beauville · 4 citations
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Mathematics and Applications #History and Theory of Mathematics #Subject (documents) #Mathematics #Algebraic number #Sheaf #Pure mathematics #Computer science #Library science
- Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras
1995/10/01 by Fred Van Oystaeyen, F. Van Oystaeyen, Luc Willaert · 1 citation
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Coherent sheaf #Cohomology #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Equivalence (formal languages) #Grothendieck topology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Schematic #Sheaf #Sheaf cohomology #Topology (electrical circuits)
- Cohomology of Sheaves
1986/01/01 by Birger Iversen · 4 citations
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #Cohomology #Cup product #De Rham cohomology #Equivariant cohomology #Group cohomology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Motivic cohomology #Poincaré duality #Pure mathematics #Sheaf #Sheaf cohomology #Čech cohomology
- What is a Sheaf?
1970/08/01 by J. Arthur Seebach, Linda A. Seebach, Lynn A. Steen +1 · 1 citation
Arts and Humanities · Mathematics · #Architecture and Art History Studies #Linguistics #Mathematics #Philosophy #Pure mathematics #Semiotics and Representation Studies #Sheaf