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19922026
Showing 2017 · math.AGShow all

6 papers · 2 filters

math.AG2017★ 12 cited

Splitting conjectures for uniform flag bundles

Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde

We present here some conjectures on the diagonalizability of uniform principal bundles on rational homogeneous spaces, that are natural extensions of classical theorems on uniform…

math.AG2017

Ranks on the boundaries of secant varieties

Edoardo Ballico

In many cases (e.g. for many Segre or Segre embeddings of multiprojective spaces) we prove that a hypersurface of the -secant variety of has -rank $>…

math.AG2017★ 9 cited

A note on the cactus rank for Segre-Veronese varieties

Edoardo Ballico, Alessandra Bernardi, Fulvio Gesmundo

We give an upper bound for the cactus rank of any multi-homogeneous polynomial.

math.AG2017

A remark on rationally connected varieties and Mori dream spaces

Claudio Fontanari, Diletta Martinelli

In this short note, we show that a construction by Ottem provides an example of a rationally connected variety that is not birationally equivalent to a Mori dream space. This answe…

math.AG2017★ 2 cited

Bounds on the tensor rank

Edoardo Ballico, Alessandra Bernardi, Luca Chiantini +1

We give a sufficient criterion for a lower bound of the cactus rank of a tensor. Then we refine that criterion in order to be able to give an explicit sufficient condition for a no…

math.AG2017★ 11 cited

On the Xiao conjecture for plane curves

Filippo Francesco Favale, Juan Carlos Naranjo, Gian Pietro Pirola

Let be a non-trivial fibration from a complex projective smooth surface to a smooth curve of genus . Let the Clifford index of the generic…