Ziv Ran

geometry on nodal curves

Given a family

UNIVERSAL VARIATIONS OF HODGE STRUCTURE AND CALABI-YAU-SCHOTTKY RELATIONS

X/B

On the irreducibility of secant cones, and an application to linear normality

of nodal curves, we construct canonically and compatibly with base-change, via an explicit blow-up of the Cartesian product

Canonical systems and their limits on stable curves

X^r/B

Jacobi-Bernoulli cohomology and deformations of schemes and maps

, a family

Monodromy and Connectedness

W^r(X/B)

Bend, break and count

parametrizing length-

Unobstructedness of filling secants and the Gruson–Peskine general projection theorem

r

Echelon Modifications of Vector Bundles

subschemes of fibres of

On the variety of rational space curves

X/B