Projectively Dual Varieties

By E. Tevelev. 2001

59 citations recorded by the source corpus.

This text is a draft of the review paper on projectively dual varieties. Topics include dual varieties, Pyasetskii pairing, discriminant complexes, resultants and schemes of zeros, secant and tangential varieties, Ein theorems, applications of projective differential geometry and Mori theory to dual varieties, degree and multiplicities of discriminants, self-dual varieties, etc.

Subfields: Computational Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dfd8f73e995b3522a48a7eb975d3f20fd06ab87a

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In Computational Mathematics

1. J. M. Landsberg
2. Laurent Manivel
3. Jan Draisma
4. E. E. Tyrtyshnikov
5. Tamara G. Kolda
6. Vladimir A. Kazeev
7. Brett W. Bader
8. Alessandra Bernardi

In Geometry and Topology

1. Laurent Manivel
2. J. M. Landsberg
3. Gianluca Occhetta
4. Alberto Elduque
5. Daniele Faenzi
6. Tamara G. Kolda
7. Brett W. Bader
8. E. E. Tyrtyshnikov

In Mathematical Physics

1. Laurent Manivel
2. J. M. Landsberg

Citations in the corpus

• Representation Theory and Projective Geometry (2002, background): “We may ask the same questions for varieties associated to X. For example the degrees of the dual varieties of Grassmannians are still unknown in general (see [67, 26, 78 ]).”
• A survey on the Campana-Peternell Conjecture (2014, background): “We refer the reader to [55] for an account on dual varieties.”