Marco Franciosi

Embeddings of curves and surfaces

We prove a general embedding theorem for Cohen-Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing H 1 (2 K X ) = 0.

Log-canonical pairs and Gorenstein stable surfaces with

We classify log-canonical pairs

A note on impulse response for continuous, linear, time-invariant, continuous-time systems

(X,{\rm\Delta})

On Clifford's theorem for singular curves

of dimension two such that

Information Content Toward a Neonatal Disease Severity Score System

K_{X}+{\rm\Delta}

Divisors of small genus on algebraic surfaces and projective embeddings

is an ample Cartier divisor with

Computing invariants of semi-log-canonical surfaces

(K_{X}+{\rm\Delta})^{2}=1

On varieties whose universal cover is a product of curves

, giving some applications to stable surfaces with

Multi-dimensional sparse time series: feature extraction

K^{2}=1

Gorenstein stable Godeaux surfaces

. A rough classification is also given in the case where