This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first year course in algebraic geometry (at the level of Hartshorne's ALGEBRAIC GEOMETRY), as well as more advanced graduate students...
Many people think that stacks should be considered as basic objects of algebraic geometry, like schemes, and [62]is an example of a convincing and heavy set of notes toward this goal. We hope to show how to use them in various concrete examples, especially the moduli stack of stable ...
The aim is to provide a brief introduction to algebraic stacks,and then to give several constructions of the moduli stack of Higgs bundles onalgebraic curves. The first construction is via a "bootstrap" method from thealgebraic stack of vector bundles on an algebraic curve. This construction is...
Stacks 1:52:37 Dustin Clausen - 1729 Analytic Stacks 1:48:49 Hadrien Notarantonio - Solving equations from combinatorics via computer algebra 42:47 Daniele Semola - Ricci curvature, fundamental group and the Milnor conjecture (I 57:07 Eric Pichon-Pharabod - Periods of hypersurfaces via ...
The articles in this volume are devoted to: moduli of coherent sheaves, principal bundles and sheaves and their moduli, new insights into Geometric Invariant Theory, stacks of shtukas and their compactifications, algebraic cycles vs. commutative algebra, Thom polynomials of singularities, zero schemes...
The Brill-Noether curve of a stable vector bundle on a genus two curve, Algebraic cycles and motives Let U(r) be the moduli space of rank r vector bundles with trivial determinant on a smooth curve of genus 2. The map theta_r: U(r) -> |r Theta|, which asso... AV Sonia Brivio...
W. Barth Moduli of vector bundles on the projective plane Invent. math., 42 (1977), pp. 63-91 Shows that the moduli space of stable rank 2 vector bundles on Pc2, with c1 = 0, c2⩾2, is a smooth, rational, connected variety of dimension 4c2−3 and gives more detailed descriptio...
Vector Bundles in Algebraic Geometry: On the deformation theory of moduli spaces of vector bundles The articles of this volume will be reviewed individually. V Balaji,PA Vishwanath 被引量: 4发表: 1995年 Vector Bundles in Algebraic Geometry: Canonical and almost canonical spin polynomials of an al...
M. Artin, “Algebraic approximation of structures over complete local rings,” Matematika (Periodic Collection of Translations of Foreign Articles),14, No. 3, 3–39 (1970). Google Scholar M. Artin, “Algebraization of formal moduli. 1,” in: Global Analysis, Collection of Mathematical Papers...
Journal of Mathematical SciencesDifferential geometry “in the large” of plane algebraic curves, and integral formulas for invariants of singularities - Viro ... JY Kaminski&Apos,M Fryers&Apos,A Shashua,... 被引量: 0发表: 2017年 Geometry of moduli stacks of (k, l)-stable vector bundles ov...