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2 votes
0 answers
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Kac-Peterson modular forms and shifted theta functions

Let $\Lambda$ be the root lattice corresponding to an ADE root system $R$ of rank $n$. With the ADE assumption, the weight lattice is simply the dual lattice $\Lambda^{\vee}$. Given any weight vector $...
Benighted's user avatar
  • 1,701
7 votes
0 answers
122 views

Theta Function Associated to Kummer Lattice

This is something which I feel must be out in the literature somewhere, but I have been unable to find anything. If we let $\text{Km}(A)$ be the Kummer $K3$ surface associated to an abelian surface $A$...
Benighted's user avatar
  • 1,701
2 votes
1 answer
925 views

Theta Functions and Cousins

So I am (barely) familiar with the construction of the theta function of an integral lattice $L$. The theta function, as I understand it, is defined as the function which takes a variable $z$ and ...
Chris Schommer-Pries's user avatar