3 citations · 5 across the 4 of their papers we have counts for
4 papers
The Picard groups of the stacks and
Andrew Niles
We compute the Picard group of the stack of elliptic curves equipped with a cyclic subgroup of order two, and of the stack of elliptic curves equipped with a cyclic subgroup of ord…
A construction of generalized elliptic curves from twisted curves
Andrew Niles
We introduce a procedure for constructing a generalized elliptic curve from a genus-one twisted curve, and we use this procedure to define an explicit, modular isomorphism between…
Moduli of elliptic curves via twisted stable maps
Andrew Niles
Abramovich, Corti and Vistoli have studied modular compactifications of stacks of curves equipped with abelian level structures arising as substacks of the stack of twisted stable…
New Complexity Bounds for Certain Real Fewnomial Zero Sets
Joel Gomez, Andrew Niles, J. Maurice Rojas
Consider real bivariate polynomials f and g, respectively having 3 and m monomial terms. We prove that for all m>=3, there are systems of the form (f,g) having exactly 2m-1 roots i…