Introduction to Toric Varieties. (AM-131)

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As a consequence, we show that the cycle map from Chow groups to Borel-Moore homology is split injective. Unable to display preview. Download preview PDF. Skip to main content.


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  • The integral cohomology of toric manifolds.
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Advertisement Hide. The integral cohomology of toric manifolds. Authors Authors and affiliations M. This process is experimental and the keywords may be updated as the learning algorithm improves.

Toric varieties

This is a preview of subscription content, log in to check access. Baskakov, V. Bukhshtaber, and T. Nauk 59 3 , — [Russ. MathSciNet Google Scholar.

BAG1.2. Toric Varieties 2 - Affine Toric Varieties

Bifet, C. Toric topology is the study of algebraic, differential, symplectic-geometric, combinatorial, and homotopy-theoretic aspects of a particular class of torus actions whose quotients are highly structured.

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The combinatorial properties of this quotient and the equivariant topology of the original manifold interact in a rich variety of ways, thus illuminating subtle aspects of both the combinatorics and the equivariant topology. Many of the motivations and guiding principles of the field are provided by though not limited to the theory of toric varieties in algebraic geometry as well as that of symplectic toric manifolds in symplectic geometry.


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It contains about 25 research and survey articles written by conference speakers, covering many different aspects of, and approaches to, torus actions, such as those mentioned above. AM William Fulton. Batyrev , David A.

On the discriminant variety of a projective manifold Mauro C. RR Roy.

Projective 7-folds with positive defect Antonio Lanteri , Daniele C. Related Papers. By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy , Terms of Service , and Dataset License.