Carlos Rito

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Three motifs, R-helix, antiparallel-sheet, and-turn, account for most of the regular secondary structure observed in folded proteins. 1 Short peptides that adopt a defined secondary structure in solution have been used to examine the origins of R-helix 2 and-turn 3 stability, but this approach has been difficult to implement for a-sheet. 4-Hairpins, which(More)
In this paper some numerical restrictions for surfaces with an involu-tion are obtained. These formulas are used to study surfaces of general type S with pg = q = 1 having an involution i such that S/i is a non-ruled surface and such that the bicanonical map of S is not composed with i. A complete list of possibilities is given and several new examples are(More)
This paper contains an algorithm, implemented in Magma, to compute singular plane algebraic curves. Two Magma functions are given: one computes linear systems of curves with non-ordinary singularities and the other computes a scheme of points such that there is a given degree plane curve with given singularities at these points. Some examples are presented(More)
Let S be a Todorov surface, i.e., a minimal smooth surface of general type with q = 0 and pg = 1 having an involution i such that S/i is birational to a K3 surface and such that the bicanonical map of S is composed with i. The main result of this paper is that, if P is the minimal smooth model of S/i, then P is the minimal desingularization of a double(More)
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