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Contributions to Algebraic Geometry
EMS Series of Congress Reports

Contributions to Algebraic Geometry

Impanga Lecture Notes

Piotr Pragacz (IM PAN, Warsaw, Poland)

ISBN print 978-3-03719-114-9, ISBN online 978-3-03719-614-4
DOI 10.4171/114
August 2012, 516 pages, hardcover, 17 x 24 cm.
98.00 Euro

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.

Keywords: K3 surface, Enriques surface, Calabi–Yau threefold, linear system, Seshadri constant, multiplier ideal, differential form, log canonical treshold, Mori theory, canonical ring, deformation of morphism, Hodge numbers, logarithmic differential form, Prym variety, moduli space, syzygy, Wro´nski determinant, linear ODE, ramification locus, Schubert calculus, Grassmannian, Schubert variety, Schur function, singularity, Thom polynomial, P-ideal, equivariant localization, toric variety, symplectic manifold, toric stack, symplectic quotient, equivariant cohomology, Bloch group, field extension, norm