A. Lerário

activity

20112022

most citedOn the number of connected components of random algebraic hypersurfaces

44 citations · 138 across the 32 of their papers we have counts for

collaborators

Showing 2016 · math.AGShow all

2 papers · 2 filters

math.AG2016

Probabilistic Schubert Calculus

Peter Bürgisser, Antonio Lerario

We initiate the study of average intersection theory in real Grassmannians. We define the expected degree $edeg G (k, n)$ of the real Grassmannian $G (k, n)$ as the average nu…

math.AG2016

Random fields and the enumerative geometry of lines on real and complex hypersurfaces

Saugata Basu, Antonio Lerario, Erik Lundberg +1

We derive a formula expressing the average number $E_{n}$ of real lines on a random hypersurface of degree $2 n - 3$ in $R P^{n}$ in terms of the expected modulus of the…