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Local and global methods in algebraic geometry : conference in honor of Lawrence Ein's 60th birthday, local and global methods in algebraic geometry, May 12-15, 2016, University of Illinois at Chicago, Chicago, Illinois /
This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12-15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fiel...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Providence, Rhode Island] :
American Mathematical Society,
[2018]
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| Colección: | Contemporary mathematics (American Mathematical Society) ;
712. |
| Temas: |
Commutative algebra
> General commutative ring theory
> Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure.
Commutative algebra
> Theory of modules and ideals
> Linkage, complete intersections and determinantal ideals.
Algebraic geometry
> Surfaces and higher-dimensional varieties
> Vector bundles on surfaces and higher-dimensional varieties, and their moduli.
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| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; Scientific program; Some remarks on the work of Lawrence Ein; References; Contractible curves on a rational surface; 1. Introduction; 2. Preliminaries; 3. The contraction theorem; 4. Basics of the theory of peeling; 5. The peeling approach to the contraction theorem; References; On the canonical map of some surfaces isogenous to a product; 1. Introduction and state of the art on canonical surfaces of high degree in \PP³, \PP⁴, \PP⁵; 2. Representations yielding an affine, respectively a projective embedding, of a finite group.
- 3. Canonical maps of Galois coverings and of surfaces isogenous to a product4. Surfaces with record winning high canonical degree; 5. New double canonical surfaces; References; Degeneration of differentials and moduli of nodal curves on 3 surfaces; 1. Introduction; 2. Semistable degenerations and the abstract log complex; 3. The 3 case; 4. Proof of Proposition 3.4; References; Weak Brill-Noether for rational surfaces; 1. Introduction; 2. Preliminaries; 3. Strong exceptional collections and resolutions; 4. Blowups of \P² revisited; 5. Del Pezzo surfaces; References.
- Excellence in prime characteristic1. Introduction; 2. Excellence; 3. Maps inverse to Frobenius; 4. Examples of non-excellent rings; References; Motivic zeta functions and infinite cyclic covers; 1. Introduction; 2. Infinite cyclic cover of finite type; 3. Motivic infinite cyclic zeta functions; 4. Relation with the Denef-Loeser motivic zeta function; 5. Further specializations of the motivic infinite cyclic zeta function; 6. Motivic zeta functions for arbitrary divisors. Relation to the monodromy conjecture; References.
- Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and PăunA. Introduction; B. Proof of the main statement; C. Generic vanishing; D. Singular metrics on pushforwards of adjoint line bundles; E. Pushforwards of relative pluricanonical bundles; References; A strongly geometric general residual intersection; 1. Introduction; 2. General residual intersections; 3. Invariants of singularities under a general residual intersection; References; Quadratic solutions of quadratic forms; 1. Surfaces containing many circles; 2. Maps of \p¹ to quadrics.
- 3. Rational curves on quadrics4. Degenerate maps of \p²; 5. Veronese surfaces in quadric 4-folds; 6. Quadratic maps up to coordinate changes; 7. Quadrics of dimension e"; 8. Orthogonal Grassmannians; 9. Symmetric squares of orthogonal Grassmannians; References; Non-Cohen-Macaulay canonical singularities; 1. Introduction; 2. Non-\CM singularities via failure of Kodaira vanishing; 3. The construction of Lauritzen and Rao; 4. A Fano variety violating Kodaira vanishing; References.