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Homemade Algebraic Geometry. Celebrating Enrique Arrondo's 60th birthday

Simone Marchesi, Alicia Tocino

Abstract

In this survey we recognize Enrique Arrondo's contributions over the whole of its career, recalling his professional history and collecting the results of his mathematical production.

Homemade Algebraic Geometry. Celebrating Enrique Arrondo's 60th birthday

Abstract

In this survey we recognize Enrique Arrondo's contributions over the whole of its career, recalling his professional history and collecting the results of his mathematical production.
Paper Structure (8 sections, 19 theorems, 3 equations)

This paper contains 8 sections, 19 theorems, 3 equations.

Table of Contents

  1. Introduction
  2. Congruences
  3. Vector bundles without intermediate cohomology
  4. Projections and Grassmannian variety
  5. Steiner and Schwarzenberger bundles
  6. On the path to Hartshorne’s conjecture
  7. More algebraic geometry topics
  8. How Enrique understands algebraic geometry

Key Result

Theorem 1

Except for a finite number of components, each component of the Hilbert scheme of smooth congruences consists of surfaces of general type.

Theorems & Definitions (22)

  • Theorem : Sols1992Congruences, Theorem 6.18
  • Theorem : Mark1993, Theorem 2.1
  • Theorem : BertoliniTurrini2005Loci, Theorem 5.1
  • Theorem : SierraUgaglia2005, Theorem 3.1
  • Theorem : Paoletti, Theorem 3.1
  • Conjecture
  • Conjecture
  • Proposition : Arrondo2005Subcanonicity, Proposition 1.1
  • Theorem : Arrondo2005Subcanonicity, Theorem 2.1 and Theorem 2.2
  • Corollary : Arrondo2005Subcanonicity, Corollary 2.3
  • ...and 12 more