ALGEBRA AND LOGIC SEMINAR

The next meeting of the seminar will be held on April 25, 2014, (Friday), at 11:00 in Room 578 of IMI - BAS. A talk on 

SPACE MODELS OF CURVES WITH RELATIVELY LOW DEGREES

will be delivered by Prof. CHANGHO KEEM (Seoul National University, Korea).

Everybody is invited.

Abstract:
It has been known since late 19th century by Halphen that a compact Riemann surface of genus g can be realized as a smooth projective algebraic curve of relatively small degree (say g+3 ) in a projective space of dimension three. In this talk we will discuss if the result of Halphen can be sharpened for certain classes of curves, i.e., as a curve in a projective 3-space of degree strictly smaller than g+3. We will also discuss about the classification of those curves which have space models (possibly singular) of degree g+1.