Erik Lundberg

activity

20142023

most citedOn the number of connected components of random algebraic hypersurfaces

44 citations · 47 across the 4 of their papers we have counts for

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2 papers · 1 filter

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…

math.AG2014★ 44 cited

On the number of connected components of random algebraic hypersurfaces

Yan Fyodorov, Antonio Lerario, Erik Lundberg

We study the expectation of the number of components $b_{0} (X)$ of a random algebraic hypersurface $X$ defined by the zero set in projective space $R P^{n}$ of a random homogen…