Analytic and algebraic geometry

Description

This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results. Front Matter ....Pages i-ix On the Bumpy Fundamental Group Scheme (Marco Antei)....Pages 1-17 Heat Kernels, Bergman Kernels, and Cusp Forms (Anilatmaja Aryasomayajula)....Pages 19-28 On a Conjecture of Butler (Usha N. Bhosle)....Pages 29-48 A Survey of Low Dimensional (Quasi) Projective Groups (Indranil Biswas, Mahan Mj)....Pages 49-65 Parabolic Sheaves and Logarithmic Geometry (Niels Borne)....Pages 67-84 A Survey of Ulrich Bundles (Emre Coskun)....Pages 85-106 Noether-Lefschetz Locus and a Special Case of the Variational Hodge Conjecture: Using Elementary Techniques (Ananyo Dan)....Pages 107-115 Tangent Bundle of ℙ2 and Morphism from ℙ2 to Gr(2, ℂ4) (A. El Mazouni, D. S. Nagaraj)....Pages 117-123 Twisting by a Torsor (Michel Emsalem)....Pages 125-152 Hitchin Hamiltonians in Genus 2 (Viktoria Heu, Frank Loray)....Pages 153-172 Smoothness of Moduli Space of Stable Torsion-free Sheaves with Fixed Determinant in Mixed Characteristic (Inder Kaur)....Pages 173-186 Group Compactifications and Moduli Spaces (Johan Martens)....Pages 187-206 The Serre-Swan Theorem for Ringed Spaces (Archana S. Morye)....Pages 207-223 An Extension Theorem for Hermitian Line Bundles (Georg Schumacher)....Pages 225-237 Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3 (Tathagata Sengupta)....Pages 239-292