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14 papers · 1 filter
Smoothing of rational m-ropes
Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe
In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof and obtain smoothability of rational -ropes for $m \…
Euclid meets Bezout: Intersecting algebraic plane curves with the Euclidean algorithm
Jan Hilmar, Chris Smyth
We show how the Eulcidean algorithm for polynomials can be used to find the intersection points, with multiplicities, of two plane algebraic curves.
Totally nonnegative cells and matrix Poisson varieties
K. R. Goodearl, S. Launois, T. H. Lenagan
We describe explicitly the admissible families of minors for the totally nonnegative cells of real matrices, that is, the families of minors that produce nonempty cells in the cell…
Exceptional del Pezzo hypersurfaces
Ivan Cheltsov, Jihun Park, Constantin Shramov
We compute global log canonical thresholds of a large class of quasismooth well-formed del Pezzo weighted hypersurfaces in . As a corollary we…
On some Fano--Enriques threefolds
Ilya Karzhemanov
We give a classification of Fano threefolds with canonical Gorenstein singularities such that possess a regular involution, which acts freely on some smooth surface in $|-K…
Factorial threefold hypersurfaces
Ivan Cheltsov
Let be a hypersurface in of degree that has at most isolated ordinary double points. We prove that is factorial in the case when has at most $(d-1)…