Record Nr.

UNINA9910151927403321

Titolo

Contributions to Algebraic Geometry [[electronic resource] ] : Impanga Lecture Notes / / Piotr Pragacz

Pubbl/distr/stampa


Zuerich, Switzerland, : European Mathematical Society Publishing House, 2012

ISBN

3-03719-614-9

Descrizione fisica

1 online resource (516 pages)

Collana

EMS Series of Congress Reports (ECR) ; , 2523-515X

Classificazione

14-xx11-xx32-xx53-xx

Soggetti

Algebraic geometry

Number theory

Several complex variables and analytic spaces

Differential geometry

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

The influence of Oscar Zariski on algebraic geometry / Piotr Blass -- The geometry of T-varieties / Klaus Altmann, Nathan Ilten, Lars Petersen, Hendrik Süß, Robert Vollmert -- Introduction to equivariant cohomology in algebraic geometry / Dave Anderson -- Recent developments and open problems in linear series / Thomas Bauer, Cristiano Bocci, Susan Cooper, Sandra Di Rocco, Marcin Dumnicki, Brian Harbourne, Anders Lindquist, Hans Z. Munthe-Kaas, Alex Küronya, Rick Miranda, Joaquim Roé, Henry K. Schenck, Tomasz Szemberg, Zach Teitler -- Moduli of map germs, Thom polynomials and the Green-Griffiths conjecture / Gergely Bérczi -- The Minimal Model Program revisited / Paolo Cascini, Vladimir Lazić -- Invariants of hypersurfaces and logarithmic differential forms / Sławomir Cynk, Sławomir Rams -- Prym varieties and their moduli / Gavril Farkas -- On generalized Wrońskians / Letterio Gatto, Inna Scherbak -- Lines crossing a tetrahedron and the Bloch group / Kevin Hutchinson, Masha Vlasenko -- On complex and symplectic toric stacks / Andreas Hochenegger, Frederik Witt -- Deformation along subsheaves, II / Clemens Jörder, Stefan Kebekus -- Some degenerations of $G_2$ and Calabi-Yau varieties / Michał Kapustka -- Notes on Kebekus' lectures on differential forms on singular spaces / Mateusz Michałek -- Lecture

notes on K3 and Enriques surfaces Notes by Sławomir Rams / Shigeru Mukai -- IMPANGA lecture notes on log canonical thresholds Notes by Tomasz Szemberg / Mircea Mustaţă -- On Schur function expansions of Thom polynomials / Özer Öztürk, Piotr Pragacz -- A note on the kernel of the norm map / Marek Szyjewski -- Seshadri and packing constants / Halszka Tutaj-Gasińska.

Sommario/riassunto

The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Będlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces; Prym varieties and their moduli; invariants of singularities in birational geometry; differential forms on singular spaces; Minimal Model Program; linear systems; toric varieties; Seshadri and packing constants; equivariant cohomology; Thom polynomials; arithmetic questions. The main purpose of the volume is to give comprehensive introductions to the above topics through texts starting from an elementary level and ending with the discussion of current research. The first four topics are represented by the notes from the minicourses held during the conference. In the articles the reader will find classical results and methods, as well as modern ones. The book is addressed to researchers and graduate students in algebraic geometry, singularity theory and algebraic topology. Most of the material exposed in the volume has not yet appeared in book form.