The articles in this book give comprehensive introductions through a series of texts starting at an elementary level and ending with a discussion of current research. The main subjects studied are vector bundles and coherent sheaves,principal bundles and sheaves, as well as their moduli; current generalizations of geometric invariant theory; Drinfeld's shtukas and their stacks; interactions between intersection theory and commutative algebra; Thom polynomials. Dedicated to the great mathematician J.M. Hoene-Wronski INDICE: Preface.- Life and Work of J.M. Hoene-Wronski.- Exotic Fine ModuliSpaces of Coherent Sheaves.- Principal Bundles over Projective Varieties.- Zero Schemes of Sections of Vector Bundles.- Moduli Spaces of Coherent Sheaves on Multiples Curves.- Stacks of Shtukas.- Geometric Invariant Theory Relative to a Base Curve.- Thom Polynomials of Invariant Cones.- Torsion-free Sheaves and Their Moduli.- Applications of Algebraic Cycles to Affine Algebraic Geometry.
- ISBN: 978-3-7643-8536-1
- Editorial: BIRKHAUSER VERLAG.
- Encuadernacion: Cartoné
- Páginas: 280
- Fecha Publicación: 01/01/2008
- Nº Volúmenes: 1
- Idioma: Inglés
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- MATEMÁTICAS /
- ÁLGEBRA