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Moduli of double EPW-sextics /
The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of \bigwedge^3{\mathbb C}^6 modulo the natural action of \mathrm{SL}_6, call it \mathfrak{M}. This is a compactification of the moduli space of smooth double EPW-sextics and hence birational to the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1136. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn938499830 | ||
| 003 | OCoLC | ||
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| 066 | |c (S | ||
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| 020 | |z 9781470416966 |q (alk. paper) | ||
| 020 | |z 1470416964 |q (alk. paper) | ||
| 035 | |a (OCoLC)938499830 | ||
| 050 | 4 | |a QA573 |b .O47 2016 | |
| 082 | 0 | 4 | |a 516.3/53 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a O'Grady, Kieran G., |d 1958- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjvQVPkmPMqTFJMcF7dJDq | |
| 245 | 1 | 0 | |a Moduli of double EPW-sextics / |c Kieran G. O'Grady. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2016. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (ix, 172 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 240, number 1136 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed February 16, 2016). | |
| 500 | |a "Volume 240, number 1136 (second of 5 numbers), March 2016." | ||
| 504 | |a Includes bibliographical references (pages 171-172). | ||
| 505 | 0 | 0 | |6 880-01 |t Introduction -- |t Preliminaries -- |t One-parameter subgroups and stability -- |t Plane sextics and stability of lagrangians -- |t Lagrangians with large stabilizers -- |t Description of the GIT-boundary -- |t Boundary components meeting I in a subset of X[subscript W] [cup] {x, x[superscript v]} -- |t The remaining boundary components -- |g Appendix A. |t Elementary auxiliary results -- |g Appendix B. |t Tables. |
| 520 | |a The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of \bigwedge^3{\mathbb C}^6 modulo the natural action of \mathrm{SL}_6, call it \mathfrak{M}. This is a compactification of the moduli space of smooth double EPW-sextics and hence birational to the moduli space of HK 4-folds of Type K3^{[2]} polarized by a divisor of square 2 for the Beauville-Bogomolov quadratic form. The author will determine the stable points. His work bears a strong analogy with the work of Voisin, Laza and Looijenga on moduli and periods of cubic 4-folds. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Surfaces, Sextic. | |
| 650 | 0 | |a Equations, Sextic. | |
| 650 | 0 | |a Permutation groups. | |
| 650 | 0 | |a Hypersurfaces. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 4 | |a Equations, Sextic. | |
| 650 | 6 | |a Surfaces sextiques. | |
| 650 | 6 | |a Équations sextiques. | |
| 650 | 6 | |a Groupes de permutations. | |
| 650 | 6 | |a Hypersurfaces. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 7 | |a Equations, Sextic |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Hypersurfaces |2 fast | |
| 650 | 7 | |a Permutation groups |2 fast | |
| 650 | 7 | |a Surfaces, Sextic |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Moduli of Double EPW-Sextics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGcM9cMr7CfK8B9CDjj4md |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1136. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4901855 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 5.4. Proof of Theorem 5.1.1 assuming the results of Chapters 6 and 75.4.1. Dimensions; 5.4.2. No inclusion relations; Chapter 6. Boundary components meeting ℑ in a subset of _{ }∪{, ^{∨}}; 6.1. \gB_{\cC₁}; 6.1.1. First results; 6.1.2. Properly semistable points of ^{\sF}_{\cC₁}; 6.1.3. Semistable lagrangians with dimΘ_{ }≥2 or _{, }=\PP().; 6.1.4. Analysis of Θ_{ } and _{, }; 6.1.5. Wrapping it up; 6.2. \gB_{\cA}; 6.2.1. The GIT analysis; 6.2.2. Analysis of Θ_{ } and _{, }; 6.2.3. Wrapping it up; 6.3. \gB_{\cD}; 6.3.1. Quadrics associated to ∈ ^{\sF}_{\cD} | |
| 880 | 8 | |6 505-01/(S |a 6.3.2. The GIT analysis6.3.3. Analysis of Θ_{ } and _{, }; 6.3.4. Wrapping it up; 6.4. \gB_{\cE₁}; 6.4.1. The GIT analysis; 6.4.2. Analysis of Θ_{ } and _{, }; 6.4.3. Wrapping it up; 6.5. \gB_{\cE^{∨}₁}; 6.5.1. The GIT analysis; 6.5.2. Analysis of Θ_{ } and _{, }; 6.5.3. Wrapping it up; 6.6. \gB_{\cF₁}; 6.6.1. The GIT analysis; 6.6.2. Analysis of Θ_{ } and _{, }; 6.6.3. Wrapping it up; Chapter 7. The remaining boundary components; 7.1. \gB_{\cF₂}; 7.2. \gB_{\cF₂}∩\gI; 7.2.1. Set-up and statement of the main results. | |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4901855 | ||
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