**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

**Ricci-Hamilton Flow on Surfaces**

by

**Li Ma**-

**Tsinghua University**

Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamilton's another proof on S2; Perelman's W-functional and its applications; Ricci-Hamilton flow on Riemannian manifolds; Maximum principles; Curve shortening flow on manifolds.

(

**5105**views)

**Lectures on Calabi-Yau and Special Lagrangian Geometry**

by

**Dominic Joyce**-

**arXiv**

An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.

(

**7653**views)

**Geometric Wave Equations**

by

**Stefan Waldmann**-

**arXiv**

We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.

(

**5011**views)

**Notes on the Atiyah-Singer Index Theorem**

by

**Liviu I. Nicolaescu**-

**University of Notre Dame**

This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.

(

**5429**views)