Könyv Intersection Theory on Compact Tropical Toric Varieties Henning Meyer

Intersection Theory on Compact Tropical Toric Varieties

and Compactifications of Tropical Parameter Spaces

Szerző: Henning Meyer
Nyelv: Német
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 8-11 napon belül
18 022 Ft
We study toric varieties over the tropical semifield. We define tropical cycles inside these toric v...

Információk a könyvről

Szerző
Nyelv
Német
Kötés
Könyv - Puha kötésű
Kiadva
2011
oldal
100
EAN
9783838127002
ISBN
3838127005
Enbook ID
07009336
Súly
159
Méretek
152 x 229 x 6

Teljes leírás

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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