Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Tropical computations for toric intersection theory in Macaulay2 - MaRDI portal

Tropical computations for toric intersection theory in Macaulay2 (Q6569461)

From MaRDI portal





scientific article; zbMATH DE number 7878540
Language Label Description Also known as
English
Tropical computations for toric intersection theory in Macaulay2
scientific article; zbMATH DE number 7878540

    Statements

    Tropical computations for toric intersection theory in Macaulay2 (English)
    0 references
    0 references
    9 July 2024
    0 references
    The paper is describing the author's package implemented in Macaulay2 designed for computations in Chow rings of toric varieties. The toric variety is required to be smooth in order to avoid computing its completion. An element of the ring might be given by an ideal of a subvariety.\N\NThe implemetation is demonstrated on three examples: (1) so-called wonderful compactification of a quadruple of lines in \(\mathbb{P}^2\), (2) moduli space \(M_{0,n}\), (3) characteristic polynomial of realizable manifolds\N\NAll involved computations also come as functions in the package.
    0 references
    tropical geometry
    0 references
    toric geometry
    0 references
    intersection number
    0 references
    wonderful compactification
    0 references

    Identifiers