Intersection Theory on Compact Tropical Toric Varieties

Name: Intersection Theory on Compact Tropical Toric Varieties
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 9783838127002
Price: 49.36 EUR
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and Compactifications of Tropical Parameter Spaces

Автор: Henning Meyer

Език:

Корици: С меки корици

Издател: Sudwestdeutscher Verlag Fur Hochschulschriften AG

Наличност: Външен склад

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We study toric varieties over the tropical semifield. We define tropical cycles inside these toric v...

Информация за книгата

Автор

Henning Meyer

Език

Немски език

Корици

Книга - С меки корици

Издадена

2011

страници

100

EAN

9783838127002

ISBN

3838127005

Enbook ID

07009336

Издател

Sudwestdeutscher Verlag Fur Hochschulschriften AG

Теглоt

159

Размери

152 x 229 x 6

Пълно описание

We study toric varieties over the tropical semifield. We define tropical cycles inside these toric varieties and extend the stable intersection of tropical cycles in real n-space to these toric varieties. In particular, we show that every tropical cycle can be degenerated into a sum of torus-invariant cycles. This allows us to tropicalize algebraic cycles of toric varieties over an algebraically closed field with non-Archimedean valuation. We see that the tropicalization map is a homomorphism on cycles and an isomorphism on cycle classes. Furthermore, we can use projective toric varieties to compactify known tropical varieties and study their combinatorics. We do this for the tropical Grassmannian in the Plücker embedding and compactify the tropical parameter space of rational degree d curves in tropical projective space using Chow quotients of the tropical Grassmannian.

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Intersection Theory on Compact Tropical Toric Varieties

and Compactifications of Tropical Parameter Spaces

Информация за книгата

Пълно описание

Може също да ви хареса

Клиенти, които купиха тази книга, купиха също