Introduction 1 1. Basic notions 6 1.1. Motives for rational and homological equivalence 6 1.2. Algebraic Hecke characters 7 1.3. The motive of a Hecke character 8 1.4. Deligne-Scholl motives 9 1.5. Modular parametrisations attached to CM forms 10 1.6. Generalised Heegner cycles and Chow-Heegner points 13 1.7. A special case 15 2. Chow-Heegner points over Cp 15 2.1. The p-adic Abel-Jacobi map 15...

Following the prints of Smale’s horseshoe, we trace the problems originated from the interface between hyperbolic stability and the Abel-JacobiAlbanese construction. 1 Abelianization, Super-stability and Univer-

aAbel Salazar Institute for Biomedical Sciences (ICBAS), University of Porto, Largo Prof. Abel Salazar 2, 4099-003 Porto, Portugal. bLEPAE, Chemical Engineering Department, Engineering Faculty, University of Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal. cVeterinary Sciences Department, CECAV, University of Trás-os-Montes and Alto Douro, Quinta de Prados 5001-801 Vila Real, Portugal.

Why do brokers charge per share commissions to institutional traders? What determines the commission charge? The choice of per share commissions as a payment method is puzzling, as commissions are not the most natural way to charge for order execution because costs are not proportional to the trade size and commissions are supposed to deter trading. We contend that commissions, rather than repr...

In this paper, we characterize some properties of regular Abel-Grassmann’s groupoid in terms of its (∈,∈ ∨qk)-fuzzy ideals.

Contents 1. Introduction 1 1.1. Notation and Conventions 2 1.2. Brill-Noether varieties and Abel maps 4 1.3. Stability and semistability 6 2. Technical groundwork 9 2.1. Basic estimates 9 2.2. Basic cases 12 2.3. Divisors imposing independent conditions 14 3. Irreducibility and dimension 19 3.1. Irreducible components of the Theta divisor 19 3.2. Dimension of the image of the Abel map 24 4. Com...