**Algebraic geometry and projective differential geometry**

by Joseph M. Landsberg

**Publisher**: arXiv 1998**Number of pages**: 70

**Description**:

The author discusses: Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, When can a uniruled variety be smooth?, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, Systems of quadrics with tangential defects, Recognizing uniruled varieties, Recognizing intersections of quadrics, Recognizing homogeneous spaces, Complete intersections.

Download or read it online for free here:

**Download link**

(630KB, PDF)

## Similar books

**Notes on Symmetric Spaces**

by

**Jonathan Holland, Bogdan Ion**-

**arXiv**

Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.

(

**3773**views)

**An introductory course in differential geometry and the Atiyah-Singer index theorem**

by

**Paul Loya**-

**Binghamton University**

This is a lecture-based class on the Atiyah-Singer index theorem, proved in the 60's by Sir Michael Atiyah and Isadore Singer. Their work on this theorem lead to a joint Abel prize in 2004. Requirements: Knowledge of topology and manifolds.

(

**6694**views)

**Global Theory Of Minimal Surfaces**

by

**David Hoffman**-

**American Mathematical Society**

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.

(

**6305**views)

**Exterior Differential Systems**

by

**Robert L. Bryant, et al.**-

**MSRI**

An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.

(

**1793**views)