David Oscari

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20172019

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3 papers · 1 filter

math.AG2019

Cubic surfaces as Pfaffians

David Oscari

We prove that every cubic surface in $C [x, y, z, t]$ is Pfaffian. A constructive proof is given.

math.AG2018

Pfaffian representations of plane curves

David Oscari

Let R be a commutative ring with 1. For every homogeneous polynomial f(X_0,X_1,X_2) in R[X_0,X_1,X_2] of degree d <= 25, we find a explicit linear Pfaffian R-representation of f. W…

math.AG2017

Explicit linear pfaffian representations of plane curves up to degree 5

David Oscari

Let R be a commutative ring with 1. We prove that every homogeneous polynomial f(x_0,x_1,x_2) in R[x_0,x_1,x_2] up to degree 5 admits a linear Pfaffian R-representation. We believe…