GIV / GIII, (G4/ G3) for example, refer to the number of pregnancies:

Antecedentes Gineco-obstetricos - SlideShare
https://www.slideshare.net/.../antecedentes-ginecoobstetrico...
Feb 23, 2013 - G = Gestas Número de embarazos P = partos Número de partos A = abortos Número de abortos C = cesárea Número de cesáreas; 4. EJEMPLO• En el caso de una mujer embarazada: G3; P2; A0; ha tenido 3 embarazos, 2 partos y ningún aborto. La Gesta faltante, corresponde al embarazo actual.

It's the same in English:
Gravidity and Parity Definitions (Implications in Risk Assessment ...
https://patient.info/.../gravidity-and-parity-definitions-an...

In this context, I think "AbEspl" could be aborto espontáneo con legrado:

"El caso clínico corresponde a una gestante de 29 años, sin antecedentes de interés, dos partos eutócicos previos y un aborto espontáneo con legrado obstétrico, no hábitos tóxicos."

In English this would be spontaneous abortion/miscarriage with curettage, though I think it's usually dilation and curettage/D&C:

D&C Procedure After a Miscarriage: Risks & Complications
americanpregnancy.org › Pregnancy Complications
Jul 18, 2017 - A D&C procedure after a Miscarriage, also known as dilation and curettage, is a surgical procedure often performed after a first trimester miscarriage.
The Reproductive Medicine Group (Personal History)
https://www.patientlinkonline.com/mainform.aspx?parms... miscarriage naturally. miscarriage with D&C

So in this case, I think the patient has had 4 pregnancies, with the second or third (you use GIII and GII) ending in miscarriage.



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Note added at 6 hrs (2017-12-13 08:56:09 GMT)
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I would like to add that in English, G4, G3 etc is probably better than GIV, GIII.