3 citations · 6 across the 4 of their papers we have counts for
4 papers
Irrational Toric Varieties
Ata Firat Pir
Classical toric varieties are among the simplest objects in algebraic geometry. They arise in an elementary fashion as varieties parametrized by monomials whose exponents are a fin…
Irrational toric varieties and secondary polytopes
Ata Pir, Frank Sottile
The space of torus translations and degenerations of a projective toric variety forms a toric variety associated to the secondary fan of the integer points in the polytope correspo…
Convex Hull of Two Circles in R^3
Evan D. Nash, Ata Firat Pir, Frank Sottile +1
We describe convex hulls of the simplest compact space curves, reducible quartics consisting of two circles. When the circles do not meet in complex projective space, their algebra…
Monomial Gotzmann sets in a quotient by a pure power
Ata Fırat Pir, Müfit Sezer
A homogeneous set of monomials in a quotient of the polynomial ring is called Gotzmann if the size of this set grows minimally when multiplied with the varia…