Książka Intersection Theory on Compact Tropical Toric Varieties Henning Meyer

Intersection Theory on Compact Tropical Toric Varieties

and Compactifications of Tropical Parameter Spaces

Autor: Henning Meyer
Język: Niemiecki
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
199.87
We study toric varieties over the tropical semifield. We define tropical cycles inside these toric v...

Informacje o książce

Język
Niemiecki
Oprawa
Książka - Miękka
Data wydania
2011
strony
100
EAN
9783838127002
ISBN
3838127005
Enbook ID
07009336
Waga
159
Wymiary
152 x 229 x 6

Pełny opis

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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